How do you divide #(x ^ { 2} - 7x + 6) -: ( x - 6)#?

2 Answers
Jan 5, 2018

#(x-1)#

Explanation:

#(x^2-7x+6)-:(x-6)#

Because #x^2-7x+6=(x-6)(x-1)#, we can sub that in into the original expression.

#=(x-6)(x-1)-:(x-6)#

#=(x-1)#

Jan 5, 2018

#x-1#

Explanation:

#"factorise the numerator and simplify"#

#rArr(cancel((x-6))(x-1))/cancel((x-6))=x-1#